How to solve (16885)/(55)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (16885)/(55) | Equatix

Use the $1^{st}$ digit $1$ from dividend $16885$

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)16885}\\\end{array}$$

Since $1$ is less than $55$, use the next digit $6$ from dividend $16885$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)16885}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $16885$

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)16885}\\\end{array}$$

Since $16$ is less than $55$, use the next digit $8$ from dividend $16885$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)16885}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $16885$

$$\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)16885}\\\end{array}$$

Find closest multiple of $55$ to $168$. We see that $3 \times 55 = 165$ is the nearest. Now subtract $165$ from $168$ to get reminder $3$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{55)}003\phantom{6}\\55\overline{)16885}\\\phantom{55)}\underline{\phantom{}165\phantom{99}}\\\phantom{55)99}3\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $16885$

$$\begin{array}{l}\phantom{55)}003\phantom{7}\\55\overline{)16885}\\\phantom{55)}\underline{\phantom{}165\phantom{99}}\\\phantom{55)99}38\\\end{array}$$

Since $38$ is less than $55$, use the next digit $5$ from dividend $16885$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{55)}0030\phantom{8}\\55\overline{)16885}\\\phantom{55)}\underline{\phantom{}165\phantom{99}}\\\phantom{55)99}38\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $16885$

$$\begin{array}{l}\phantom{55)}0030\phantom{9}\\55\overline{)16885}\\\phantom{55)}\underline{\phantom{}165\phantom{99}}\\\phantom{55)99}385\\\end{array}$$

Find closest multiple of $55$ to $385$. We see that $7 \times 55 = 385$ is the nearest. Now subtract $385$ from $385$ to get reminder $0$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{55)}00307\phantom{10}\\55\overline{)16885}\\\phantom{55)}\underline{\phantom{}165\phantom{99}}\\\phantom{55)99}385\\\phantom{55)}\underline{\phantom{99}385\phantom{}}\\\phantom{55)99999}0\\\end{array}$$

Since $0$ is less than $55$, stop the division. The reminder is $0$. The topmost line $00307$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $307$.

$$\text{Quotient: }307$$ $$\text{Reminder: }0$$

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